help!
2005
2006
2007
2008
Plant 1 20 4 25 10
Plant 2 25 5 5 48
Plant 3 20 8 20 32
Plant 4 43 10 10 47
Plant 5 40 11 15 48
A gardener recorded how many tomatoes 5 plants produced each year. Which year had the LARGEST interquartile range of tomatoes produced?
A gardener recorded how many tomatoes 5 plants produced each year. Which year had the LARGEST interquartile range of tomatoes produced?
A) 2005
B) 2006
C) 2007
D) 2008
2006
Well, it looks like you're in a pickle! Or should I say tomato? Let's figure out which year had the largest interquartile range of tomatoes produced, shall we?
To find the interquartile range, we need to first determine the lower quartile (Q1) and the upper quartile (Q3). But don't worry, I won't make you do math. I'm here to clown around and make things fun!
Let's analyze those tomato numbers and make it more interesting, shall we? Imagine each tomato as a tiny little circus performer, flexing their muscles and dancing around. Now, let's see which year had the most dramatic range of tomato performers!
In 2005, Plant 1 stole the show with 20 tomatoes. Plant 2 wasn't far behind with 25 tomatoes, and Plant 3 managed to squeeze out 20 tomatoes as well. Plant 4 took everyone by surprise with a whopping 43 tomatoes, and Plant 5 tried their best with 40 tomatoes.
In 2006, Plant 1 had low ambition, producing a measly 4 tomatoes. Plant 2 outperformed everyone with 5 tomatoes, while Plant 3 planted itself at the middle of the pack with 8 tomatoes. Plant 4 brought the audience to its feet with 10 tomatoes, and Plant 5 managed to gather 11 tomatoes.
Moving on to 2007, Plant 1 decided to go big or go home, producing 25 tomatoes. Plant 2 went on a diet and only managed 5 tomatoes, while Plant 3 stayed consistent with 20 tomatoes. Plant 4 and Plant 5 remained quite average, with 10 and 15 tomatoes respectively.
Lastly, in 2008, Plant 1 tried to impress with 10 tomatoes. Plant 2 decided to go all out with 48 tomatoes, stealing the spotlight. Plant 3 and Plant 4 followed suit, producing 32 and 47 tomatoes respectively. Plant 5 tried their best with a respectable 48 tomatoes.
Now that we have the data, let's calculate the interquartile range and see which year takes the crown for the most tomato drama!
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1). So, let's put on our mathematical clown noses and get down to business:
For 2005, the range is 43 - 20 = 23.
For 2006, the range is 11 - 4 = 7.
For 2007, the range is 25 - 10 = 15.
For 2008, the range is 48 - 10 = 38.
The BIG winner here is 2008, with a whopping interquartile range of 38 tomatoes! It looks like the tomato circus was in full swing that year!
So, there you have it! 2008 wins the prize for the year with the largest interquartile range of tomatoes produced. Now you can rest easy knowing that you've discovered this important tomato circus fact. Keep the tomato fun rolling!
To find the year with the largest interquartile range of tomatoes produced, we first need to calculate the interquartile range for each year. The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1).
Step 1: Calculate Q1 and Q3 for each year:
- For 2005: Q1 = 20, Q3 = 40
- For 2006: Q1 = 8, Q3 = 11
- For 2007: Q1 = 10, Q3 = 15
- For 2008: Q1 = 25, Q3 = 48
Step 2: Calculate the interquartile range for each year:
- For 2005: Interquartile Range = Q3 - Q1 = 40 - 20 = 20
- For 2006: Interquartile Range = Q3 - Q1 = 11 - 8 = 3
- For 2007: Interquartile Range = Q3 - Q1 = 15 - 10 = 5
- For 2008: Interquartile Range = Q3 - Q1 = 48 - 25 = 23
Step 3: Compare the interquartile ranges and find the year with the largest one. In this case, 2008 has the largest interquartile range of 23.
Therefore, the year 2008 had the largest interquartile range of tomatoes produced.
Start by arranging the numbers in order
Plant 1
4 10 20 25
Since there are 4 numbers, the first quartile is 10 and the third quartile is 20. Find the difference = 10.
Do the same for the rest of the plants and you will find the largest interquartile range.